Answer:
62 degrees
Step-by-step explanation:
Since lines i and k are parallel, angle b and h are interior angles and are equal to each other. Set up the equation by setting the two equal to each other.
8x-34=5x+2
Subtract 5x from both sides. (it cancels on the right side)
3x-34=2
Add 34 to both sides. (cancels on the left side)
3x=36
Divide both sides by 3.
x=12
Now plug it into either equation since they are equal. I'm gonna use the one for angle h so that it's less confusing.
5(12)+2
60+2
62
The measure of angle h is 62 degrees.
